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Präradikale und Endomorphismenringe von Moduln.

Sigurd Elliger (1975)

Aequationes mathematicae

Precovers and Goldie’s torsion theory

Ladislav Bican (2003)

Mathematica Bohemica

Recently, Rim and Teply , using the notion of $τ$ -exact modules, found a necessary condition for the existence of $τ$ -torsionfree covers with respect to a given hereditary torsion theory $τ$ for the category $R$ -mod of all unitary left $R$ -modules over an associative ring $R$ with identity. Some relations between $τ$ -torsionfree and $τ$ -exact covers have been investigated in . The purpose of this note is to show that if $σ = (𝒯_{σ}, ℱ_{σ})$ is Goldie’s torsion theory and $ℱ_{σ}$ is a precover class, then $ℱ_{τ}$ is a precover class whenever...

Displaying 1 – 6 of 6

Präradikale und Endomorphismenringe von Moduln.

Precovers and Goldie’s torsion theory

Preradicals

Preradicals and change of rings

Protolocalisations of exact Mal'cev categories.

Pseudohereditary and pseudocohereditary preradicals

Currently displaying 1 – 6 of 6